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vladimir2022 [97]
2 years ago
14

At the Foremost State Bank the average savings account balance in 2012 was $1900. A random sample of 45 savings account balanes

for 2013 yielded a mean of $1000 with a standard deviation of $225. At the α = 0.01 significance level test the claim that the mean savings account balance in 2013 is different from the mean savings account balance in 2012.
Mathematics
1 answer:
lakkis [162]2 years ago
4 0

Answer:

The calculated  |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Mean of the Population = 1900

Given random sample size 'n' =  45

Mean of the sample x⁻ = 1000

Standard deviation of the sample = 225

<u><em>Null Hypothesis</em></u>:-

There is no difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012.

<u><em>Alternative Hypothesis</em></u> :-

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

<u><em>Step(ii</em></u>):-

Test statistic

        t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }

        t = \frac{1000-1900 }{\frac{225}{\sqrt{45} } }

       t = -900 /33.54 = -26.517

      |t| = |-26.517|=26.517

Degrees of freedom

                       γ = n-1 = 45-1 =44

t₍₀.₀₁ , ₄₄₎ = 2.326

The calculated  |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

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\frac{1}{2x} +  \frac{1}{x} =  \frac{1}{6}

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Now we know that Mr. Itol would take 9 hours to complete the task if he were to do it himself. To find how long it would take his assistant to complete the same task by himself, we just need to plug in the x-value into 2x:

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4 0
3 years ago
Pls help I’m giving points
Sedaia [141]

Answer:

27/16

Step-by-step explanation:

this is because i added up 1/2 and 3/4 first, which gave me 1 1/4, and i converted this into just a single fraction without a whole number to make the adding easier for me which was 5/4.  

(a whole number is the amount of times the bottom number of the fraction went into the top number so-... 4 goes into 5 one time which gives you a whole number of 1 and the fraction of 1/4. the 1 being left from the five.)

then i added 5/4 and 7/16 to get 1 11/16.  which then converted into 27/16

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2 years ago
How do you work this out? need help asap
Svetlanka [38]
Hello,

Line 1 is passing through (-4,3), (-2,7) has a slope of (3-7)/(-4+2)=2

Line 2 is passing through (2,9), (4,1) has a slope of (9-1)/(2-4)=-4

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6 0
3 years ago
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Sonbull [250]

Answer:

1/16

Step-by-step explanation:

Convert 50p to pound sterling.

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Divide £0.5 with £8.

0.5/8

Simplify the fraction.

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bezimeni [28]

Answer:

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Step-by-step explanation:

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